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Finding the Third Proportional to 225,624 and 481,272

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Solution

The third proportional to 225,624 and 481,272 is: 1,026,587.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,624 : 481,272 = 481,272 : x
  2. Step 2: Convert to fraction form
    225,624/481,272 = 481,272/x
  3. Step 3: Cross multiply
    225,624x = 481,272 × 481,272
  4. Step 4: Simplify right side
    225,624x = 231,622,737,984
  5. Step 5: Solve for x
    x = 231,622,737,984/225,624
  6. Step 6: Final answer
    x = 1,026,587.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.